A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750. a. Calculate the mean and the standard deviation for the distribution. (Round intermediate calculation for standard deviation to 4 decimal places and final answer to 2 decimal places.) b. What is the probability that X is less than 730

a)

The variance is given by:

And the deviation is just the square root of the variance and we got:

b)

And for this case we can use the cumulative distribution given by:

And replacing we got:

Step-by-step explanation:

For this case we assume that X is our random variable and we know that the distribution for X is given by:

Part a

For this case the expected value is given by:

The variance is given by:

And the deviation is just the square root of the variance and we got:

Part b

For this case we want to find this probability:

And for this case we can use the cumulative distribution given by:

And replacing we got:

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.